Elliptic curve isogeny class with Cremona label 237120o (LMFDB label 237120.o)

• Label: 237120o
• Number of curves: $1$
• Conductor: $237120$
• CM: no
• Rank: $1$

Rank

The elliptic curve 237120o1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(13\)	\(1 - T\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 - 5 T + 23 T^{2}\)	1.23.af
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 237120o do not have complex multiplication.

Modular form 237120.2.a.o

Elliptic curves in class 237120o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
237120.o1	237120o1	\([0, -1, 0, -301558641, 2015707242105]\)	\(-2961686524287311350789156096/139506818115234375\)	\(-142854981750000000000\)	\([]\)	\(39075840\)	\(3.3456\)	\(\Gamma_0(N)\)-optimal